lemniscate Antonyms

No Synonyms and anytonyms found

Meaning of lemniscate

Wordnet

lemniscate (n)

any of several plane algebraic curves in the shape of a figure eight

Webster

lemniscate (n.)

A curve in the form of the figure 8, with both parts symmetrical, generated by the point in which a tangent to an equilateral hyperbola meets the perpendicular on it drawn from the center.

lemniscate Sentence Examples

  1. The lemniscate loop emerged as a captivating mathematical construct, symbolizing infinity and symmetry.
  2. The equation of the lemniscate, x^2 + y^2 = a^2/(1 + cos(2θ)), defines its unique figure-eight shape.
  3. The lemniscate's focal points lie on the x-axis, separated by a distance of 2a.
  4. The area enclosed by the lemniscate is given by πa^2/2, while its perimeter cannot be expressed in elementary functions.
  5. The lemniscate arises in diverse fields, including geometry, electromagnetism, and acoustics.
  6. Bernoulli's lemniscate, named after the renowned mathematician, is a variation where the exponent of cos(2θ) differs.
  7. The lemniscate is a fascinating curve that exhibits an intriguing relationship with the exponential function.
  8. In fluid dynamics, the lemniscate shape appears as a flow pattern around certain obstacles.
  9. The lemniscate's elegant geometry has inspired artistic works and architectural designs.
  10. The lemniscate serves as a valuable tool for understanding the behavior of waves and oscillations.

FAQs About the word lemniscate

any of several plane algebraic curves in the shape of a figure eightA curve in the form of the figure 8, with both parts symmetrical, generated by the point in

No synonyms found.

No antonyms found.

The lemniscate loop emerged as a captivating mathematical construct, symbolizing infinity and symmetry.

The equation of the lemniscate, x^2 + y^2 = a^2/(1 + cos(2θ)), defines its unique figure-eight shape.

The lemniscate's focal points lie on the x-axis, separated by a distance of 2a.

The area enclosed by the lemniscate is given by πa^2/2, while its perimeter cannot be expressed in elementary functions.